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Phragmén-Lindelf and continuous dependence type results in a Stokes flow 被引量:1

Phragmén-Lindelf and continuous dependence type results in a Stokes flow
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摘要 This paper investigates the asymptotic behavior of end effects for a Stokes flow defined on a three-dimensional semi-infinite cylinder. With homogeneous Dirichlet conditions of the velocity on the lateral surface of the cylinder, solutions either grow or decay exponentially in the distance from the finite end of the cylinder. In the case of decay, the effect of perturbing the equation parameters is also investigated. This paper investigates the asymptotic behavior of end effects for a Stokes flow defined on a three-dimensional semi-infinite cylinder. With homogeneous Dirichlet conditions of the velocity on the lateral surface of the cylinder, solutions either grow or decay exponentially in the distance from the finite end of the cylinder. In the case of decay, the effect of perturbing the equation parameters is also investigated.
作者 J.C.SONG
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第7期875-882,共8页 应用数学和力学(英文版)
基金 supported by the National Research Foundation of Korea (NRF) (No.2010-0012215)
关键词 Phragmen-Lindelof continuous dependence decay bounds Stokes flow Phragmen-Lindelof, continuous dependence, decay bounds, Stokes flow
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